Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13116445 | C2 | semidirect |
| 3. D13×C22⋊C16 | C2 | semidirect |
| 4. #13112775 | C2 | semidirect |
| 5. #13112775 | C2 | semidirect |
| 6. #13112760 | C2 | semidirect |
| 7. C13×#1314 | C2 | semidirect |
| 119. #1314 | D13 | semidirect |
| 301. C13 | #11467 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718389 | 2 |
| #13116445 | 2 |
| D13×C22⋊C16 | 2 |
| #13112775 | 2 |
| #13112760 | 2 |
| C13×#1314 | 2 |
| #11467 | 13 |